Question

distance travelled for on thind of totatlime
[
begin{array}{l}
S_{1}=u t+frac{1}{2} a t^{2} quad u=c
S_{0} quad f=frac{1}{2} times 8 timesleft(frac{t}{3}right)^{2}
end{array}
]
remaining distance with wrifolim velocity
[
S_{2}=uleft(frac{2 t}{3}right) quad text { ds we know } v=u+a t
]
[
s_{2}=left(frac{a t}{3}right)left(frac{2 t}{3}right) quad v=a v+1
]
total ditang = 100 m becomes unifern
[
begin{array}{c}
operatorname{sos} frac{4 t^{2}}{9}+frac{2 times 8 t^{2}}{9}=100
4 t^{2}+16 t^{2}=900
2 phi t^{2}=frac{900}{45} Rightarrow t=sqrt{45}=3 sqrt{53}
end{array}
]

# A tiger running 100 m race, accelerates for one third time of the total time and then moves with uniform speed. Then find the total time taken by the tiger to run 100 m if the acceleration of the tiger is 8m/s.

Solution